2.8(y+1)=0.7(2y+14)

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Solution for 2.8(y+1)=0.7(2y+14) equation: 


Simplifying
2.8(y + 1) = 0.7(2y + 14)

Reorder the terms:
2.8(1 + y) = 0.7(2y + 14)
(1 * 2.8 + y * 2.8) = 0.7(2y + 14)
(2.8 + 2.8y) = 0.7(2y + 14)

Reorder the terms:
2.8 + 2.8y = 0.7(14 + 2y)
2.8 + 2.8y = (14 * 0.7 + 2y * 0.7)
2.8 + 2.8y = (9.8 + 1.4y)

Solving
2.8 + 2.8y = 9.8 + 1.4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1.4y' to each side of the equation.
2.8 + 2.8y + -1.4y = 9.8 + 1.4y + -1.4y

Combine like terms: 2.8y + -1.4y = 1.4y
2.8 + 1.4y = 9.8 + 1.4y + -1.4y

Combine like terms: 1.4y + -1.4y = 0.0
2.8 + 1.4y = 9.8 + 0.0
2.8 + 1.4y = 9.8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 1.4y = 9.8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 1.4y = 9.8 + -2.8
1.4y = 9.8 + -2.8

Combine like terms: 9.8 + -2.8 = 7
1.4y = 7

Divide each side by '1.4'.
y = 5

Simplifying
y = 5

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